ELA, Volume 6, pp. 56-61, March 2000, abstract.

On Inequalities Involving the Hadamard Product of Matrices

B. Mond and J. Pecaric

Recently, the authors established a number of inequalities
involving integer powers of the Hadamard product of two 
positive definite Hermitian matrices.  Here these results 
are extended in two ways. First, the restriction to integer 
powers is relaxed to include all real numbers not in the open
interval (-1,1). Second, the results are extended to the 
Hadamard product of any finite number of Hermitian positive 
definite matrices.